2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/84104We report on the possibility of having two black solitons interacting inside a silica fiber that presents normal group-velocity dispersion, to generate a pair of solitons, a vector soliton of the black-bright type. The model obeys a pair of coupled nonlinear Schrödinger equations, that follows in accordance with a Ginzburg-Landau equation describing the anisotropic XY model. We solve the coupled equations using a trial-orbit method, which plays a significant role when the Schrödinger equations are reduced to first order differential equations.Revtex, 4 pages, 2 eps figures; typos correctedOpticsSoft Condensed MatterHigh Energy Physics - TheoryGeneral Physicstext